Finding the Third Proportional to 39,675.75 and 82,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,675.75 : 82,639.50 = 82,639.50 : x
2. Step 2: Convert to fraction form
   39,675.75/82,639.50 = 82,639.50/x
3. Step 3: Cross multiply
   39,675.75x = 82,639.50 × 82,639.50
4. Step 4: Simplify right side
   39,675.75x = 6,829,286,960.25
5. Step 5: Solve for x
   x = 6,829,286,960.25/39,675.75
6. Step 6: Final answer
   x = 172,127.48